Methodologies for investigating relationships between concept development and the development of problem solving abilities

This paper is the second in a pair that Lesh, English, and Fennewald will be presenting at ICME TSG 19 on Problem Solving in Mathematics Education. The first paper describes three shortcomings of past research on mathematical problem solving. The first shortcoming can be seen in the fact that knowledge has not accumulated – in fact it has atrophied significantly during the past decade. Unsuccessful theories continue to be recycled and embellished. One reason for this is that researchers generally have failed to develop research tools needed to reliably observe, document, and assess the development of concepts and abilities that they claim to be important. The second shortcoming is that existing theories and research have failed to make it clear how concept development (or the development of basic skills) is related to the development of problem solving abilities – especially when attention is shifted beyond word problems found in school to the kind of problems found outside of school, where the requisite skills and even the questions to be asked might not be known in advance. The third shortcoming has to do with inherent weaknesses in observational studies and teaching experiments – and the assumption that a single grand theory should be able to describe all of the conceptual systems, instructional systems, and assessment systems that strongly molded and shaped by the same theoretical perspectives that are being used to develop them. Therefore, this paper will describe theoretical perspectives and methodological tools that are proving to be effective to combat the preceding kinds or shortcomings. We refer to our theoretical framework as models & modeling perspectives (MMP) on problem solving (Lesh & Doerr, 2003), learning, and teaching. One of the main methodologies of MMP is called multi-tier design studies (MTD).

Curriculum evaluation : approaches and methodologies

Curriculum evaluation, as a field of study, is dynamic. For over the years it has been responsive to the developments in the conceptualization of curriculum and the associated processes of curriculum change. The concept of curriculum is integral to curriculum evaluation and can be defined in terms of what can and shall be taught to whom, when, where, how, and why. Much of the decision making relates to what knowledge is to be selected for inclusion in the curriculum.

The carrying capacity imperative : assessing regional carrying capacity methodologies for sustainable land-use planning

The global impact of an ever-increasing population-base combined with dangerously depleted natural resources highlights the urgent need for changes in human lifestyles and land-use patterns. To achieve more equitable and sustainable land use, it is imperative that populations live within the carrying capacity of their natural assets in a manner more accountable to and ethically responsible for the land which sustains them. Our society’s very survival may well depend on worldwide acceptance of the carrying capacity imperative as a principle of personal, political, economic, educational and planning responsibility. This theoretically-focused research identifies, examines and compares a range of methodological approaches to carrying capacity assessment and considers their relevance to future spatial planning. It also addresses existing gaps in current methodologies and suggests avenues for improvement. A set of eleven key criteria are employed to compare various existing carrying capacity assessment models. These criteria include whole-systems analysis, dynamic responses, levels of impact and risk, systemic constraints, applicability to future planning and the consideration of regional and local boundary delineation. This research finds that while some existing methodologies offer significant insights into the assessment of population carrying capacities, a comprehensive model is yet to be developed. However, it is suggested that by combining successful components from various authors, and collecting a range of interconnected data, a practical and workable systems-based model may be achievable in the future.

The carrying capacity imperative : assessing regional carrying capacity methodologies for sustainable land-use planning

While some existing carrying capacity methodologies offer significant insights into the assessment of population carrying capacities, a comprehensive model is yet to be developed. This research identifies, examines and compares a range of methodological approaches to carrying capacity assessment and considers their relevance to future spatial planning. A range of key criteria are employed to compare various existing carrying capacity assessment models. These criteria include integrated systems analysis, dynamic responses, levels of risk, systemic constraints, applicability to future planning and the consideration of regional boundary delineation. It is suggested that by combining successful components from various authors, and collecting a range of interconnected data, a practical and workable system-based model may be achievable in the future.

Fashion design research : research methodologies for emerging researchers [Abstract]

This paper attempts to address some fundamental issues faced by new and emerging researchers in the discipline of Fashion design. A culture of patchwork research methodology appears to have become the norm in an attempt to ‘fit’ fashion design research into an academic paradigm for the examination of readers from more traditional research fields such as Arts, Humanities, Science and Philosophy. Two key questions are discussed here; is it appropriate for fashion researchers to adopt and adapt existing research methodologies to find a scholarly, academic voice? Secondly; do these methodologies enable fashion design research to be effectively disseminated to professionals and fellow researchers within the discipline of fashion design?

A literature review on research methodologies of gross pollutant traps

This paper presents a comprehensive review of scientific and grey literature on gross pollutant traps (GPTs). GPTs are designed with internal screens to capture gross pollutants—organic matter and anthropogenic litter. Their application involves professional societies, research organisations, local city councils, government agencies and the stormwater industry—often in partnership. In view of this, the 113 references include unpublished manuscripts from these bodies along with scientific peer-reviewed conference papers and journal articles. The literature reviewed was organised into a matrix of six main devices and nine research areas (testing methodologies) which include: design appraisal study, field monitoring/testing, experimental flow fields, gross pollutant capture/retention characteristics, residence time calculations, hydraulic head loss, screen blockages, flow visualisations and computational fluid dynamics (CFD). When the fifty-four item matrix was analysed, twenty-eight research gaps were found in the tabulated literature. It was also found that the number of research gaps increased if only the scientific literature was considered. It is hoped, that in addition to informing the research community at QUT, this literature review will also be of use to other researchers in this field.

New methodologies for researching news discussion on Twitter

Twitter has become a major instrument for the rapid dissemination and subsequent debate of news stories. It has been instrumental both in drawing attention to events as they unfolded (such as the emergency landing of a plane in New York’s Hudson River in 2009) and in facilitating a sustained discussion of major stories over timeframes measured in weeks and months (including the continuing saga around Wikileaks and Julian Assange), sometimes still keeping stories alive even if mainstream media attention has moved on elsewhere. More comprehensive methodologies for research into news discussion on Twitter – beyond anecdotal or case study approaches – are only now beginning to emerge. This paper presents a large-scale quantitative approach to studying public communication in the Australian Twittersphere, developed as part of a three-year ARC Discovery project that also examines blogs and other social media spaces. The paper will both outline the innovative research tools developed for this work, and present outcomes from an application of these methodologies to recent and present news themes. Our methodology enables us to identify major themes in Twitter’s discussion of these events, trace their development and decline over time, and map the dynamics of the discussion networks formed ad hoc around specific themes (in part with the help of Twitter #hashtags: brief identifiers which mark a tweet as taking part in an established discussion). It is also able to identify links to major news stories and other online resources, and to track their dissemination across the wider Twittersphere.